Elongation of Circular Tapering Rod Calculator

✖Applied Load is a force imposed on an object by a person or another object.ⓘ Applied Load [W_{Applied load}]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%
✖Diameter1 is the diameter on one side of the rod.ⓘ Diameter1 [d₁]			+10% -10%
✖Diameter2 is the length of the diameter on 2nd side.ⓘ Diameter2 [d₂]			+10% -10%

✖Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).ⓘ Elongation of Circular Tapering Rod [δl]

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Formula

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Elongation of Circular Tapering Rod

Formula

`"δl" = 4*"W"_{"Applied load"}*"L"/(pi*"E"*"d"_{"1"}*"d"_{"2"})`

Example

`"0.018189m"=4*"150kN"*"3m"/(pi*"20000MPa"*"0.045m"*"0.035m")`

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Elongation of Circular Tapering Rod Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elongation = 4*Applied Load*Length/(pi*Young's Modulus*Diameter1*Diameter2)
δl = 4*W_{Applied load}*L/(pi*E*d₁*d₂)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Elongation - (Measured in Meter) - Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).
Applied Load - (Measured in Newton) - Applied Load is a force imposed on an object by a person or another object.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Diameter1 - (Measured in Meter) - Diameter1 is the diameter on one side of the rod.
Diameter2 - (Measured in Meter) - Diameter2 is the length of the diameter on 2nd side.

STEP 1: Convert Input(s) to Base Unit

Applied Load: 150 Kilonewton --> 150000 Newton (Check conversion here)
Length: 3 Meter --> 3 Meter No Conversion Required
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
Diameter1: 0.045 Meter --> 0.045 Meter No Conversion Required
Diameter2: 0.035 Meter --> 0.035 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δl = 4*W_{Applied load}*L/(pi*E*d₁*d₂) --> 4*150000*3/(pi*20000000000*0.045*0.035)

Evaluating ... ...

δl = 0.0181891363533595

STEP 3: Convert Result to Output's Unit

0.0181891363533595 Meter --> No Conversion Required

FINAL ANSWER

0.0181891363533595 ≈ 0.018189 Meter <-- Elongation

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Strength of Materials » Stress and Strain » Circular Tapering Rod » Elongation of Circular Tapering Rod

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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< 10+ Circular Tapering Rod Calculators

Diameter of Circular Tapered Rod with Uniform Cross Section

Go Diameter of Shaft = sqrt(4*Applied Load*Length/(pi*Young's Modulus*Elongation))

Load at End with known Extension of Circular Tapering Rod

Go Applied Load = Elongation/(4*Length/(pi*Young's Modulus*Diameter1*Diameter2))

Length of Circular Tapering rod

Go Length = Elongation/(4*Applied Load/(pi*Young's Modulus*Diameter1*Diameter2))

Modulus of Elasticity using Elongation of Circular Tapering Rod

Go Young's Modulus = 4*Applied Load*Length/(pi*Elongation*Diameter1*Diameter2)

Diameter at Other End of Circular Tapering Rod

Go Diameter1 = 4*Applied Load*Length/(pi*Young's Modulus*Elongation*Diameter2)

Diameter at One End of Circular Tapering Rod

Go Diameter2 = 4*Applied Load*Length/(pi*Young's Modulus*Elongation*Diameter1)

Elongation of Circular Tapering Rod

Go Elongation = 4*Applied Load*Length/(pi*Young's Modulus*Diameter1*Diameter2)

Length of Circular Tapered Rod with Uniform Cross Section

Go Length = Elongation/(4*Applied Load/(pi*Young's Modulus*(Diameter of Shaft^2)))

Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section

Go Young's Modulus = 4*Applied Load*Length/(pi*Elongation*(Diameter of Shaft^2))

Elongation of Prismatic Rod

Go Elongation = 4*Applied Load*Length/(pi*Young's Modulus*(Diameter of Shaft^2))

Elongation of Circular Tapering Rod Formula

Elongation = 4*Applied Load*Length/(pi*Young's Modulus*Diameter1*Diameter2)
δl = 4*W_{Applied load}*L/(pi*E*d₁*d₂)

What is Tapering Rod?

A Tapered Rod mounted at one end (base) and subject to a normal force at the other end (tip) is a fundamental structure of continuum mechanics that occurs widely at all size scales from radio towers to fishing rods to micro electro mechanical sensors.

How to Calculate Elongation of Circular Tapering Rod?

Elongation of Circular Tapering Rod calculator uses Elongation = 4*Applied Load*Length/(pi*Young's Modulus*Diameter1*Diameter2) to calculate the Elongation, The Elongation of Circular Tapering Rod is defined as the amount of length changed on applied load from initial length. Elongation is denoted by δl symbol.

How to calculate Elongation of Circular Tapering Rod using this online calculator? To use this online calculator for Elongation of Circular Tapering Rod, enter Applied Load (W_{Applied load}), Length (L), Young's Modulus (E), Diameter1 (d₁) & Diameter2 (d₂) and hit the calculate button. Here is how the Elongation of Circular Tapering Rod calculation can be explained with given input values -> 0.018189 = 4*150000*3/(pi*20000000000*0.045*0.035).

FAQ

What is Elongation of Circular Tapering Rod?

The Elongation of Circular Tapering Rod is defined as the amount of length changed on applied load from initial length and is represented as δl = 4*W_{Applied load}*L/(pi*E*d₁*d₂) or Elongation = 4*Applied Load*Length/(pi*Young's Modulus*Diameter1*Diameter2). Applied Load is a force imposed on an object by a person or another object, Length is the measurement or extent of something from end to end, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Diameter1 is the diameter on one side of the rod & Diameter2 is the length of the diameter on 2nd side.

How to calculate Elongation of Circular Tapering Rod?

The Elongation of Circular Tapering Rod is defined as the amount of length changed on applied load from initial length is calculated using Elongation = 4*Applied Load*Length/(pi*Young's Modulus*Diameter1*Diameter2). To calculate Elongation of Circular Tapering Rod, you need Applied Load (W_{Applied load}), Length (L), Young's Modulus (E), Diameter1 (d₁) & Diameter2 (d₂). With our tool, you need to enter the respective value for Applied Load, Length, Young's Modulus, Diameter1 & Diameter2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Elongation?

In this formula, Elongation uses Applied Load, Length, Young's Modulus, Diameter1 & Diameter2. We can use 1 other way(s) to calculate the same, which is/are as follows -

Elongation = 4*Applied Load*Length/(pi*Young's Modulus*(Diameter of Shaft^2))

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